48632924060361 has 45 divisors (see below), whose sum is σ = 74468272309783. Its totient is φ = 31629496425120.

The previous prime is 48632924060353. The next prime is 48632924060393. The reversal of 48632924060361 is 16306042923684.

The square root of 48632924060361 is 6973731.

It is a perfect power (a square), and thus also a powerful number.

48632924060361 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 2 + 9 + 24 + 0 + 603 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2343406810761 + 46289517249600 = 1530819^2 + 6803640^2 .

It is not a de Polignac number, because 48632924060361 - 2³ = 48632924060353 is a prime.

It is a super-2 number, since 2×48632924060361² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48632924060298 and 48632924060307.

It is not an unprimeable number, because it can be changed into a prime (48632924062361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2573297290 + ... + 2573316188.

Almost surely, 2^{48632924060361} is an apocalyptic number.

48632924060361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

48632924060361 is the 6973731-st square number.

48632924060361 is the 3486866-th centered octagonal number.

It is an amenable number.

48632924060361 is a deficient number, since it is larger than the sum of its proper divisors (25835348249422).

48632924060361 is an frugal number, since it uses more digits than its factorization.

48632924060361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37892 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 48632924060361 in words is "forty-eight trillion, six hundred thirty-two billion, nine hundred twenty-four million, sixty thousand, three hundred sixty-one".